Stainless steel is a material with corrosion resistance and high temperature resistance, it is a kind of good environmental protection building material. Existing researches show that stainless steel has a better performance than low carbon steel in high temperature resistance. Through studying mechanics property for stainless steel at elevated temperatures obtained by scholars, to evaluate the deficiencies of the existing specifications. Reviewing the researches in strain-stress curves and constitutive relations models home and abroad, after introducing, analyzing, summing up the advantages and disadvantages of each model. Three-step stress-strain model proposed by Quach is applicable for the tensile and compressive conditions, can be directly used in current structural design specification in room temperature. The stress-strain model at elevated temperatures proposed by Gardner has a strong applicability, but it is not complete and still need to further expand.